A library checks out four fiction books and two non-fiction books an hour. How
many times more fiction books do they check out than non-fiction

The length of the rectangle is 96 m, the width of the rectangle is 77 cm , the length of the rectangle is 1/8 mile, the length and width of the rectangle is 7 m and 42 m respectively, VW is  11 units.

According to the question,

1) Perimeter of rectangle = 344 M

Width = 76 M

Perimeter of rectangle = 2(length + width)

2(length+76) = 344

length+76 = 172

length = 172-76

Length of the rectangle = 96 M

2) Area of a rectangular window = 7315 \(cm^{2}\)

Length of the window is 95 cm.

Area of rectangle = length*width

95*width = 7315

width = 7315/95

Width of the rectangle = 77 cm

3) The perimeter of a rectangular garden is 5/8 mile.

The width of the garden is 3/16 mile.

Perimeter of rectangle = 2(length+width)

2(length+3/16) = 5/8

length+3/16 = 5/(2*8)

length = 5/16-3/16

Length of the rectangle = 2/16 or 1/8 mile

4) The area of a rectangular window is 8256 \(m^{2}\).

The length of the window is 86 m.

Area of rectangle = length*width

86*width = 8256

width = 8256/86

Width of the rectangle = 96 m

5)  The length of a rectangle is six times its width. The perimeter of the rectangle is 98 m.

Let's take width of the rectangle to be x m.

Length of rectangle = 6x m

2(length+width) = 98

2(6x+x) = 98

2*7x = 98

14x = 98

x = 98/14

x = 7 m

Width = 7 m

Length = 7*6 m or 42 m

6) The perimeter of the pentagon is 58 units.

3z+10+z+3+2z-1+10 = 58

6z+10+3-1+10 = 58

6z+22 = 58

6z = 58-22

6z = 36

z = 36/6

z = 6 units

VW = 2z-1

VW = 2*6-1

VW = 12-1

VW = 11 units

Hence, the answer to 1 is 96 m , 2 is 77 cm, 3 is 1/8 mile , 4 is 96 m , 5 is 7 m and 42 m and 6 is 11 units.

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700,000,000

y a i ta

Step-by-step explanation:

100,000,000 + 500,000,000 = 600,000,000

The number of degrees below zero is given by A = 56° F

Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.

It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:

If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

Given data ,

Let the initial temperature be represented as T

Let the number of degrees below zero be A

Now , the value of T is

T = -56° F

From the modulus function , we get

The value of the modulus function is always non-negative.

So , the measure of A = | T |

A = | -56 |

A = 56° F

Hence , the number of degrees below zero is 56° F

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Answer:

v = -122.5

Step-by-step explanation:

1: 2.3 + v/7 = -15.2

2: v/7 = -17.5

3: v = -122.5

Step 1: This is the given equation

Step 2: Here, 2.3 was subtracted from both sides of the equation to isolate v

Step 3: both sides of the equation were multiplied by 7 to get v = -122.5

Answer:

245 over 2

Step-by-step explanation:

just use a calculator and you should be able to get the question right

Answer:

DE = 30

Step-by-step explanation:

Let X be the measure of side DE.

You can write this equation to represent the problem:

\(x *\frac{2}{3} =20\)

The measure of DE (x) is multiplied by the scale factor of \(\frac{2}{3}\) to become 20.

Solve for x:

\(x *\frac{2}{3} =20\\\frac{2x}{3} =20\\2x=60\\x=30\)

DE = 30

Answer:

6 miles

Step-by-step explanation:

From the information given you can write the following equation:

x+y= 16 (1), where

x= April's distance

y= Blake's distance

You also have that Blake ran 4 miles farther than April which means that y= 4+x and you can replace this in the first equation and isolate x:

x+(4+x)= 16

x+4+x=16

2x=16-4

x=12/2

x= 6

According to this, the answer is that April ran 6 miles.

P Q P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q

T T T T T F F F F F T    T

F T T F F T T T T T F    F

P F T F F T T T T T F     F

-P T T F F T T T T T F     F

-Q T T T T F T F F F T     T

-P V -Q T T F F T T T T T F

-P -> Q T T F F T T T T T F

-P -> -Q T T F F T T T T T F

P <-> Q T T T T F T T T T F

Here is a more detailed explanation of how I filled out the table:

P | Q : This column is simply the truth value of P and Q. If P and Q are both true, then the entry in this column is T. If P is true and Q is false, then the entry in this column is F. If P is false and Q is true, then the entry in this column is F. And if P and Q are both false, then the entry in this column is T.

P V Q : This column is the truth value of P or Q. If P is true, then the entry in this column is T. If Q is true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.

P ^ Q : This column is the truth value of P and Q. If P and Q are both true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.

P -> Q : This column is the truth value of P implies Q. If P is true and Q is false, then the entry in this column is F. And if P is false or Q is true, then the entry in this column is T.

-P : This column is the negation of P. If P is true, then the entry in this column is F. And if P is false, then the entry in this column is T.

-Q : This column is the negation of Q. If Q is true, then the entry in this column is F. And if Q is false, then the entry in this column is T.

-P V -Q : This column is the truth value of not P or not Q. If P and Q are both true, then the entry in this column is F. If P and Q are both false, then the entry in this column is T. And if P or Q is true, then the entry in this column is T.

-P -> Q : This column is the truth value of not P implies Q. If P is true and Q is false, then the entry in this column is T. And if P is false or Q is true, then the entry in this column is F.

-P -> -Q : This column is the truth value of not P implies not Q. If P and Q are both true, then the entry in this column is T. If P is false or Q is false, then the entry in this column is T. And if P is true and Q is true, then the entry in this column is F.

P <-> Q : This column is the truth value of P if and only if Q. If P and Q are both true or P and Q are both false, then the entry in this column is T. And if P and Q have different truth values, then the entry in this column is F.

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Answer:

27 units

Step-by-step explanation:

I don't think that diagonals count so I think it is 27 units.

Tell me if I'm wrong :)

Answer:

\(\frac{19}{6} =3\frac{1}{6}\)

Step-by-step explanation:

Answer:

The answer is 3 1/6

Step-by-step explanation:

Answer:

11 4/10

Step-by-step explanation:

Answer:

Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

The number that does not belong with the other three is D. 10 x 9.2 ⁻¹³

With the first three numbers, the base of the exponential that is being multiplied by the first number is 10. These numbers are:

With the last number however, we see that the base of the exponential is 9. 2 and not 10 like the others. This is why 10 x 9 . 2 ⁻¹³ does not belong with the rest.

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Answer:

1.609

Step-by-step explanation:

Hopes this helps and brainllest please!

Answer:

\(2.579 - 0.97 \\ \frac{1609}{1000} \: \: or \: \: 1.60\)

Answer:

The slope of a line perpendicular to m=2 is m= 1.

Step-by-step explanation:

2x+2y=-12

2y=-2x-12

y= -x-6.

The equation is in slope-intercept form now, so it is easy to tell what the slope is.

The slope of y= -x-6 is m = -x. Technically, -x = -1x, so now make the -1 positive and find the reciprocal, which is still 1.

All you need to do to find the perpendicular slope of any line is simply to find the reciprocal of the number and make the positive/negative number the opposite. I hope this helps, have a good day/night! :)

Answer: Hope this helps, these are some tips for investing and the different types of them definitions.

Step-by-step explanation:

Take Some Notes

Strategy 1: Value Investing

Strategy 2: Growth Investing

Strategy 3: Momentum Investing

Strategy 4: Dollar-Cost Averaging

Answer:

x = 58.03°

Step-by-step explanation:

Given:

Solve for x:

1. \(x=cos^{-1}(\frac{9}{17})=58.03\)

Answer:

So, the measure of angle x is equal to 58.03.

The distance between the fire and station B is 10.7miles

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

The angle at A = 90- 35

= 55°

The angle at B = 90-49

= 41°

Angle at the fire = 180-(41+55)

= 180-96 = 84°

Using sine rule

sin84/13 = sin55/x

xsin84 = 13sin55

0.995x = 10.65

x = 10.65/0.995

x = 10.7 miles

Therefore the distance between the fire and station B is 10.7 miles.

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 I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.

The credit card is a type of card that could be used to pay for utilities. The credit card is a thin plastic card that is issued by a person's financial institution and is recognized for financial transaction.

However, the credit car should be used with caution so that a person do not accumulate a lot of debt on the credit card that could lead to the bankruptcy of the individual that is using the cards in question.

Now,  I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.

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Answer:

B. Socialism

Step-by-step explanation:

In contrast to capitalism, socialists believe the shared ownership of resources and central planning offer a more equitable distribution of goods and services.

Karl Marx was the most prominent voice of socialism and believed the working class would rise up against the wealthy when faced with injustices.

A square is always a rhombus. Statement 2 is correct

A parallelogram is a type of polygon which having 2-D geometrical shape whose sides are parallel to each other.

Statement 1: Not every interior angle of a parallelogram is a right angle. As a result, it does not fulfill the rectangle's property.

Statement 2: A square is a shape with equal sides and perpendicular diagonals. Therefore, square satisfies every characteristic of a rhombus.

Statement 3: Not all of the sides of a rectangle are equal. As a result, it can't be square.

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Steve is correct. Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0.

By using a number line, Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0. One temperature is negative and the other is positive, but by adding their distances, he can find the difference. Kelly's method of subtracting -5.1 from the temperature at 12 PM on Wednesday is not necessarily incorrect, but it does not give the exact difference in temperature between the two times. Therefore, using Steve's method, the change in temperature would be the sum of the distance from 0 to the temperature at 7 AM (which is 2.5) and the distance from 0 to the temperature at 12 PM (which is also 2.5), resulting in a difference of 5 degrees.

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In 2021 a 30-second commercial during the Super Bowl cost $5.6 million and the CPI was approximately 271.4. Assuming that price changes are simply due to inflation, when the CPI was 33.4 the estimated cost of a 30-second commercial during the first Super Bowl in 1967 would be approximately $68,900.

To calculate the cost of the 30-second commercial during the first Super Bowl in 1967, we can use the concept of inflation and the Consumer Price Index (CPI).

The CPI measures the average price change of a basket of goods and services over time. By comparing the CPI values of two different years, we can estimate the relative increase in prices due to inflation.

Given data:

Cost of a 30-second commercial in 2021 = $5.6 million

CPI in 2021 = 271.4

CPI in 1967 = 33.4

To calculate the cost in 1967, we need to adjust the 2021 cost for inflation using the CPI ratio:

Cost in 1967 = (Cost in 2021) * (CPI in 1967 / CPI in 2021)

Cost in 1967 = ($5.6 million) * (33.4 / 271.4)

Cost in 1967 ≈ $0.689 million

To round the cost to the nearest hundred dollars, we can multiply the cost by 100 and round it to the nearest whole number:

Cost in 1967 ≈ $68,900

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answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

Answer:

|Z| = |-0.126| = 0.126 < 1.645

Null hypothesis is accepted

The retiring citizens is taken to investigate whether the new bill has raised the average age at which people actually retire.

μ = 57.5

Step-by-step explanation:

Explanation:-

The average retirement age for a certain country was reported to be 56.4 years

The mean of the sample x⁻ = 56.4

The standard  deviation of the Population 'σ'= 55 years

The mean of the population μ = 57.5

Null hypothesis: H₀:The retiring citizens is taken to investigate whether the new bill has raised the average age at which people actually retire.

μ = 57.5

Alternative Hypothesis : H₁: μ ≠57.5

Test statistic

         \(Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }\)

critical value:

\(Z_{\frac{\alpha }{2} } = Z_{0.05} =1.645\)

\(Z = \frac{56.4-57.5 }{\frac{55}{\sqrt{40} } } = -0.126\)

|Z| = |-0.126| = 0.126 < 1.645

The null hypothesis is accepted

Conclusion:-

The retiring citizens is taken to investigate whether the new bill has raised the average age at which people actually retire.

μ = 57.5

Answer:

16.42 mins

Step-by-step explanation:

Take the difference of the altitude you want and current altitude

53,000 - 30,000 = 23,000

Divide the value you got with the constant rate of change

23,000/1400 = 16.42

It will take 16.42 mins

Let's create a simple equation to find the number of minutes the jet will take to climb to 53,000 feet.

x = # of minutes

30,000ft + 1400x = 53,000ft

Subtract both sides by 30,000ft

1400x = 23,000ft

Divide both sides by 1400ft

x = 16.43

It will take the jet approximately 16.43 minutes to reach 53,000ft from 30,000ft

The simplified exponential function is determined as x⁴.

An exponential function is a mathematical function used to calculate the exponential growth or decay of a given set of data.

To simplify an exponential function, we will apply the rules of exponent as shown below;

The given exponential function;

= (∛ x² )⁶

The given expression is simplified as follows;

= \((x^2) ^{\frac{1}{3} \times 6}\)

= ( x² )²

= x⁴

Thus, the simplified exponential function is determined by applying the rules of multiplication of powers.

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Answer:

339.4cm³

Step-by-step explanation:

V

=

π

r

2

h

3

22/7×6²×9/3= 339.42

Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

⇒ A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

⇒ B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

⇒ B. P37.70

By definition of tangent,

tan(θ - x) = sin(θ - x) / cos(θ - x)

Expand the sine and cosine terms using the angle sum identities,

sin(x ± y) = sin(x) cos(y) ± cos(x) sin(y)

cos(x ± y) = cos(x) cos(y) ∓ sin(x) sin(y)

from which we get

tan(θ - x) = (sin(θ) cos(x) - cos(θ) sin(x)) / (cos(θ) cos(x) + sin(θ) sin(x))

Also recall the Pythagorean identity,

cos²(x) + sin²(x) = 1

from which we have two possible values for each of cos(θ) and sin(x):

cos(θ) = ± √(1 - sin²(θ)) = ± 3/5

sin(x) = ± √(1 - cos²(x)) = ± 12/13

Since there are 2 choices each for cos(θ) and sin(x), we'll have 4 possible values of tan(θ - x) :

• cos(θ) = 3/5, sin(x) = 12/13 :

tan(θ - x) = -56/33

• cos(θ) = -3/5, sin(x) = 12/13 :

tan(θ - x) = 16/63

• cos(θ) = 3/5, sin(x) = -12/13 :

tan(θ - x) = -16/63

• cos(θ) = -3/5, sin(x) = -12/13 :

tan(θ - x) = 56/33

Now

cos(ø-x)

sin(ø-x)

So

tan(ø-x)